Given below are two statements: Assertion (A): A glass tube partially filled with water represents an open organ pipe. Reason (R): The open end corresponds to an antinode and the end in contact with water, to a node. In the light of the above statements, choose the correct answer from the options given below:
Both (A) and (R) are True and (R) is the correct explanation of (A).
Both (A) and (R) are True and (R) is not the correct explanation of (A).
(A) is True but (R) is False.
(A) is False but (R) is True.
A glass tube partially filled with water has one open end and one closed end (closed by the water surface). Such a tube behaves as a closed organ pipe, not an open organ pipe. Therefore, Assertion (A) is False. In a standing wave formed in such a tube, the open end is a displacement antinode because the air particles have maximum freedom to vibrate. The end in contact with water acts as a rigid boundary, so it corresponds to a displacement node because the water surface prevents the air particles from vibrating longitudinally. Therefore, Reason (R) is True. Hence, (A) is False but (R) is True.
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